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Simplifying 3x + -2(3 + -1x) + -17 = 3(x + 1) + -4(x + -1) 3x + (3 * -2 + -1x * -2) + -17 = 3(x + 1) + -4(x + -1) 3x + (-6 + 2x) + -17 = 3(x + 1) + -4(x + -1) Reorder the terms: -6 + -17 + 3x + 2x = 3(x + 1) + -4(x + -1) Combine like terms: -6 + -17 = -23 -23 + 3x + 2x = 3(x + 1) + -4(x + -1) Combine like terms: 3x + 2x = 5x -23 + 5x = 3(x + 1) + -4(x + -1) Reorder the terms: -23 + 5x = 3(1 + x) + -4(x + -1) -23 + 5x = (1 * 3 + x * 3) + -4(x + -1) -23 + 5x = (3 + 3x) + -4(x + -1) Reorder the terms: -23 + 5x = 3 + 3x + -4(-1 + x) -23 + 5x = 3 + 3x + (-1 * -4 + x * -4) -23 + 5x = 3 + 3x + (4 + -4x) Reorder the terms: -23 + 5x = 3 + 4 + 3x + -4x Combine like terms: 3 + 4 = 7 -23 + 5x = 7 + 3x + -4x Combine like terms: 3x + -4x = -1x -23 + 5x = 7 + -1x Solving -23 + 5x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -23 + 5x + x = 7 + -1x + x Combine like terms: 5x + x = 6x -23 + 6x = 7 + -1x + x Combine like terms: -1x + x = 0 -23 + 6x = 7 + 0 -23 + 6x = 7 Add '23' to each side of the equation. -23 + 23 + 6x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = 7 + 23 6x = 7 + 23 Combine like terms: 7 + 23 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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